There are various ways to accomplish this, none of which are built directly into Quartz. This is workflow-type functionality.
You may use various tactics, such as having jobs schedule/trigger other jobs while then execute, use job/trigger listeners, etc. You may also want to grab one of the various workflow engines out there on the webs and integrate quartz with it / it with quartz.
There is a simple job-chaining listener that is packaged with Quartz.